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24 February, 16:05

Jenna is building a rectangular garden in her yard the diagonal measures 6.5 feet in the width measures 2.5 feet what is the perimeter of Jennas garden

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  1. 24 February, 18:22
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    Answer: Perimeter = 12.5 feet

    Step-by-step explanation:

    The diagonal of the rectangular garden divides it into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the rectangle, L, we would apply Pythagoras theorem which is expressed as

    Hypotenuse² = opposite side² + adjacent side²

    Therefore

    6.5² = 2.5² + L²

    42.5 = 6.25 + L

    L² = 42.5 - 6.25 = 36

    L = √36

    L = 6 feet

    Perimeter = 2 (L + W)

    Perimeter = 2 (6 + 2.5) = 12.5 feet
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